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Finding the Fourth Proportional to 1,607.20, 2,410.20 and 633.10

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Solution

The fourth proportional to 1,607.20, 2,410.20 and 633.10 is: 949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.20 : 2,410.20 = 633.10 : x
  2. Step 2: Convert to fraction form
    1,607.20/2,410.20 = 633.10/x
  3. Step 3: Cross multiply
    1,607.20x = 2,410.20 × 633.10
  4. Step 4: Simplify right side
    1,607.20x = 1,525,897.62
  5. Step 5: Solve for x
    x = 1,525,897.62/1,607.20
  6. Step 6: Final answer
    x = 949.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.